Question

A crate on a motorized cart starts from rest and moves with a constant eastward acceleration of a = 2.20 m/s2. A worker assists the cart by pushing on the crate with a force that is eastward and has magnitude that depends on time according to F(t)=(5.40N/s)t.

Answer 1

Answer:

Explanation:

Given

acceleration a =2.2 m/s^2

Force F(t) is given by

F(t)=5.40 t N/s

Power supplied by this force at different time t is given by

Power$=F\cdot v$

velocity at any instant t is given by

v=at

Power$=5.40 t\cdot 2.2 t$

Power$=11.88 t^2$

at t=1 s

Power =11.88 W

at t=2 s  

Power$=11.88\times 4=47.52$

at =4 s

Power$=11.88 \times 16=190.08$